SUMMARY
The discussion focuses on calculating the change in internal energy (\DeltaU) of a monatomic ideal gas expanding from 1.00 m³ to 2.50 m³ at a constant pressure of 2.00 x 105 Pa. The relevant equation for internal energy change is \DeltaU = Q + W, where work (W) is calculated as -P\DeltaV. The heat transfer (Q) is determined using the relationship Q = nCp\DeltaT, with Cp derived from the specific heat at constant volume (Cv) using the equation Cp = Cv + R. The solution was achieved by connecting these equations effectively.
PREREQUISITES
- Understanding of the first law of thermodynamics
- Familiarity with the ideal gas law
- Knowledge of specific heat capacities (Cv and Cp)
- Ability to perform basic thermodynamic calculations
NEXT STEPS
- Study the derivation of the ideal gas law and its applications
- Learn about the relationship between heat transfer and specific heat capacities
- Explore the concept of work done by gases during expansion and compression
- Investigate the implications of the first law of thermodynamics in various thermodynamic processes
USEFUL FOR
This discussion is beneficial for physics students, engineering students, and anyone studying thermodynamics, particularly those focusing on the behavior of ideal gases and internal energy calculations.